How can I display a second laptop on my original laptop?

There are different ways

One option is Taking the HDD from the bad screen laptop , and put it on the new laptop , (Removing HDD is easier in lap , just unscrew two nuts behind and just pull out hdd ) and start the lap , and nw you have the bad screen lap's hdd in the new lap with you have booted into windows , you can use pendrive to bakcup vital docs .

or if you have a Monitor of a Desktop pc , there will be a VGA port or HDMI or S-Video port on LAP you can connect from lap to monitor through this port after connecting start the laptop

another option if there is no crt monitor you can even use your tv , Your TV have video in a yellow color socket where you connect from VCD or DVD player for this you need a vga to video cable , or S-Video to RCA cable

1) Remove the hard drive from the broken laptop and install it in an external drive caddy, connect it to your new computer to copy the files.

2) Connect an external monitor to the old laptop and connect the laptops by networking

3) you could do what you suggest but the problem is that you would have to have remote access software already configured and running for the new computer to connect with and usually with remote access software you have to get a code from the remote computer to enter into the new/local computer and you have no way to do that.

4) On the new computer, create a script that will install/turn on some remote software and allow you to predefine the access key and/or a script that you can run which shares all of the folders you need access to on the old machine. Boot it up, run the script (blind of course) and then connect to it via network.

hit FN+F5